A block of mass $0.40\ \text{kg}$ lies on a smooth table between two walls. A spring of force constant $30\ \text{N/m}$ joins it to the left wall and a spring of force constant $50\ \text{N/m}$ joins it to the right wall. Later the two springs are joined end to end, and the block is attached to one end of this pair on the same smooth table, the far end fixed to one wall. How does the period in the second set-up compare with the period in the first?